Question

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What is mZHLG?
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(25m 22)
(9)

Answer 1

`\angle HLG=18 \textdegree`

Explanation:

The sum of the angles in the top quadrant must add up to 90º.

We are given

`25m+22` and
`9m`

The sum of those must equal 90.

Therefore we can write

`(25m+22)+(9m)=90`

Rearrange and remove the parenthesis.

`9m+25m+22=90`

Add
`9m` and
`25m`.

`34m+22=90`

Subtract 22 form both sides of the equation.

`34m=68`

Divide both sides of the equation by 34.

`m=2`

Now we can evaluate
`\angle HLG`.

`\angle HLG=9m\\m=2\\\angle HLG=9*2\\\angle HLG=18 \textdegree`